Title
Fourier-Galerkin Domain Truncation Method For Stokes' First Problem With Oldroyd Four-Constant Liquid
Keywords
Discontinuous boundary condition; Fourier-Galerkin method; Oldroyd four-constant model; Quasilinear parabolic equation; Regularized boundary layer function; Stokes' first problem
Abstract
Using the Fourier-Galerkin method with domain truncation strategy, Stokes' first problem for Oldroyd four-constant liquid on a semi-infinite interval is studied. It is shown that the Fourier-Galerkin approximations are convergent on the bounded interval. Moreover, an efficient and accurate algorithm based on the Fourier-Galerkin approximations is developed and implemented in solving the differential equations related to the present problem. Also, the effects of non-Newtonian parameters on the flow characteristics are obtained and analyzed. The method developed here is so general that it can be used to study the mathematical models that involve the flow of viscous fluids with shear rate-dependent properties: For example, models dealing with polymer processing, tribology & lubrication, and food processing. © 2007 Elsevier Ltd. All rights reserved.
Publication Date
6-1-2008
Publication Title
Computers and Mathematics with Applications
Volume
55
Issue
11
Number of Pages
2452-2457
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.camwa.2007.08.039
Copyright Status
Unknown
Socpus ID
41949105332 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/41949105332
STARS Citation
Akyildiz, F. Talay; Vajravelu, K.; and Ozekes, H., "Fourier-Galerkin Domain Truncation Method For Stokes' First Problem With Oldroyd Four-Constant Liquid" (2008). Scopus Export 2000s. 10057.
https://stars.library.ucf.edu/scopus2000/10057